Hidden projection properties of some optimal designs

✍ Scribed by M.L Aggarwal; Renu Kaul

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 86 KB
• Volume: 43
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(98)00249-1

✦ Synopsis

Traditionally Plackett and Burman [1946, The design of optimum multifactorial experiments. Biometrika 33, 305 -325] designs have been used for screening main e ects only because of their complex aliasing patterns. Recently, Wang and Wu [1995, A hidden projection property of Plackett-Burman designs. Statist. Sinica 5, 235 -250] studied that these designs have certain hidden projection properties, which allow certain interactions to be entertained and estimated without making additional runs. They attributed the success of Hamada and Wu's [1992, Analysis of designed experiments with complex aliasing. J. Quality Technol. 24, 130 -137] strategy for estimating two-factor interactions from Plackett-Burman-type experiments to the hidden projection property. In this paper, we have studied the hidden projection properties of a number of designs in the class of n = 1 (mod 4); n = 2 (mod 4); and n = 3 (mod 4) designs. We have also drawn non-isomorphic interaction graphs making D and D s e ciency as the underlying criterion.